--- rpl/lapack/lapack/dgbbrd.f 2011/07/22 07:38:04 1.8
+++ rpl/lapack/lapack/dgbbrd.f 2011/11/21 20:42:49 1.9
@@ -1,10 +1,196 @@
+*> \brief \b DGBBRD
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DGBBRD + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DGBBRD( VECT, M, N, NCC, KL, KU, AB, LDAB, D, E, Q,
+* LDQ, PT, LDPT, C, LDC, WORK, INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER VECT
+* INTEGER INFO, KL, KU, LDAB, LDC, LDPT, LDQ, M, N, NCC
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION AB( LDAB, * ), C( LDC, * ), D( * ), E( * ),
+* $ PT( LDPT, * ), Q( LDQ, * ), WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DGBBRD reduces a real general m-by-n band matrix A to upper
+*> bidiagonal form B by an orthogonal transformation: Q**T * A * P = B.
+*>
+*> The routine computes B, and optionally forms Q or P**T, or computes
+*> Q**T*C for a given matrix C.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] VECT
+*> \verbatim
+*> VECT is CHARACTER*1
+*> Specifies whether or not the matrices Q and P**T are to be
+*> formed.
+*> = 'N': do not form Q or P**T;
+*> = 'Q': form Q only;
+*> = 'P': form P**T only;
+*> = 'B': form both.
+*> \endverbatim
+*>
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of rows of the matrix A. M >= 0.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of columns of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*> \param[in] NCC
+*> \verbatim
+*> NCC is INTEGER
+*> The number of columns of the matrix C. NCC >= 0.
+*> \endverbatim
+*>
+*> \param[in] KL
+*> \verbatim
+*> KL is INTEGER
+*> The number of subdiagonals of the matrix A. KL >= 0.
+*> \endverbatim
+*>
+*> \param[in] KU
+*> \verbatim
+*> KU is INTEGER
+*> The number of superdiagonals of the matrix A. KU >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] AB
+*> \verbatim
+*> AB is DOUBLE PRECISION array, dimension (LDAB,N)
+*> On entry, the m-by-n band matrix A, stored in rows 1 to
+*> KL+KU+1. The j-th column of A is stored in the j-th column of
+*> the array AB as follows:
+*> AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(m,j+kl).
+*> On exit, A is overwritten by values generated during the
+*> reduction.
+*> \endverbatim
+*>
+*> \param[in] LDAB
+*> \verbatim
+*> LDAB is INTEGER
+*> The leading dimension of the array A. LDAB >= KL+KU+1.
+*> \endverbatim
+*>
+*> \param[out] D
+*> \verbatim
+*> D is DOUBLE PRECISION array, dimension (min(M,N))
+*> The diagonal elements of the bidiagonal matrix B.
+*> \endverbatim
+*>
+*> \param[out] E
+*> \verbatim
+*> E is DOUBLE PRECISION array, dimension (min(M,N)-1)
+*> The superdiagonal elements of the bidiagonal matrix B.
+*> \endverbatim
+*>
+*> \param[out] Q
+*> \verbatim
+*> Q is DOUBLE PRECISION array, dimension (LDQ,M)
+*> If VECT = 'Q' or 'B', the m-by-m orthogonal matrix Q.
+*> If VECT = 'N' or 'P', the array Q is not referenced.
+*> \endverbatim
+*>
+*> \param[in] LDQ
+*> \verbatim
+*> LDQ is INTEGER
+*> The leading dimension of the array Q.
+*> LDQ >= max(1,M) if VECT = 'Q' or 'B'; LDQ >= 1 otherwise.
+*> \endverbatim
+*>
+*> \param[out] PT
+*> \verbatim
+*> PT is DOUBLE PRECISION array, dimension (LDPT,N)
+*> If VECT = 'P' or 'B', the n-by-n orthogonal matrix P'.
+*> If VECT = 'N' or 'Q', the array PT is not referenced.
+*> \endverbatim
+*>
+*> \param[in] LDPT
+*> \verbatim
+*> LDPT is INTEGER
+*> The leading dimension of the array PT.
+*> LDPT >= max(1,N) if VECT = 'P' or 'B'; LDPT >= 1 otherwise.
+*> \endverbatim
+*>
+*> \param[in,out] C
+*> \verbatim
+*> C is DOUBLE PRECISION array, dimension (LDC,NCC)
+*> On entry, an m-by-ncc matrix C.
+*> On exit, C is overwritten by Q**T*C.
+*> C is not referenced if NCC = 0.
+*> \endverbatim
+*>
+*> \param[in] LDC
+*> \verbatim
+*> LDC is INTEGER
+*> The leading dimension of the array C.
+*> LDC >= max(1,M) if NCC > 0; LDC >= 1 if NCC = 0.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension (2*max(M,N))
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit.
+*> < 0: if INFO = -i, the i-th argument had an illegal value.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup doubleGBcomputational
+*
+* =====================================================================
SUBROUTINE DGBBRD( VECT, M, N, NCC, KL, KU, AB, LDAB, D, E, Q,
$ LDQ, PT, LDPT, C, LDC, WORK, INFO )
*
-* -- LAPACK routine (version 3.3.1) --
+* -- LAPACK computational routine (version 3.4.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* -- April 2011 --
+* November 2011
*
* .. Scalar Arguments ..
CHARACTER VECT
@@ -15,89 +201,6 @@
$ PT( LDPT, * ), Q( LDQ, * ), WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* DGBBRD reduces a real general m-by-n band matrix A to upper
-* bidiagonal form B by an orthogonal transformation: Q**T * A * P = B.
-*
-* The routine computes B, and optionally forms Q or P**T, or computes
-* Q**T*C for a given matrix C.
-*
-* Arguments
-* =========
-*
-* VECT (input) CHARACTER*1
-* Specifies whether or not the matrices Q and P**T are to be
-* formed.
-* = 'N': do not form Q or P**T;
-* = 'Q': form Q only;
-* = 'P': form P**T only;
-* = 'B': form both.
-*
-* M (input) INTEGER
-* The number of rows of the matrix A. M >= 0.
-*
-* N (input) INTEGER
-* The number of columns of the matrix A. N >= 0.
-*
-* NCC (input) INTEGER
-* The number of columns of the matrix C. NCC >= 0.
-*
-* KL (input) INTEGER
-* The number of subdiagonals of the matrix A. KL >= 0.
-*
-* KU (input) INTEGER
-* The number of superdiagonals of the matrix A. KU >= 0.
-*
-* AB (input/output) DOUBLE PRECISION array, dimension (LDAB,N)
-* On entry, the m-by-n band matrix A, stored in rows 1 to
-* KL+KU+1. The j-th column of A is stored in the j-th column of
-* the array AB as follows:
-* AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(m,j+kl).
-* On exit, A is overwritten by values generated during the
-* reduction.
-*
-* LDAB (input) INTEGER
-* The leading dimension of the array A. LDAB >= KL+KU+1.
-*
-* D (output) DOUBLE PRECISION array, dimension (min(M,N))
-* The diagonal elements of the bidiagonal matrix B.
-*
-* E (output) DOUBLE PRECISION array, dimension (min(M,N)-1)
-* The superdiagonal elements of the bidiagonal matrix B.
-*
-* Q (output) DOUBLE PRECISION array, dimension (LDQ,M)
-* If VECT = 'Q' or 'B', the m-by-m orthogonal matrix Q.
-* If VECT = 'N' or 'P', the array Q is not referenced.
-*
-* LDQ (input) INTEGER
-* The leading dimension of the array Q.
-* LDQ >= max(1,M) if VECT = 'Q' or 'B'; LDQ >= 1 otherwise.
-*
-* PT (output) DOUBLE PRECISION array, dimension (LDPT,N)
-* If VECT = 'P' or 'B', the n-by-n orthogonal matrix P'.
-* If VECT = 'N' or 'Q', the array PT is not referenced.
-*
-* LDPT (input) INTEGER
-* The leading dimension of the array PT.
-* LDPT >= max(1,N) if VECT = 'P' or 'B'; LDPT >= 1 otherwise.
-*
-* C (input/output) DOUBLE PRECISION array, dimension (LDC,NCC)
-* On entry, an m-by-ncc matrix C.
-* On exit, C is overwritten by Q**T*C.
-* C is not referenced if NCC = 0.
-*
-* LDC (input) INTEGER
-* The leading dimension of the array C.
-* LDC >= max(1,M) if NCC > 0; LDC >= 1 if NCC = 0.
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension (2*max(M,N))
-*
-* INFO (output) INTEGER
-* = 0: successful exit.
-* < 0: if INFO = -i, the i-th argument had an illegal value.
-*
* =====================================================================
*
* .. Parameters ..